In Problem use a calculator to give a decimal approximation of the numbers to three decimal places. log 21

Q: a. Rewrite the equation 4x2 + 10xy + 4y2 - 9 = 0 in a rotated x′y′-system without an x′y′-term.b. Ex...

A: The rectangular co-ordinate system can be rotated keeping the origin same, only the axes are rotated...

Q: Let 1 f(x) = x +3 Use the limit definition of the derivative to find the following. (a) f'(-7) = (b)...

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Q: Prove if these equations are equivalent.

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Q: 14 - 2 5. lim --2 212 - 3t + 2

A: For evaluating the given limit, we shall use the fact that limit of quotient is equal to quotient of...

Q: Round each fraction or mixed number to the nearest integer. а. 3 b. -2- 2 с.

A: Given numbers are:                                          a. 59b. -234c.  113

Q: bowolle zi sgsEW to ouns 1slw u 5. Use a graph to find a number 8 such that motlo < 8 then tan x- 1 ...

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Q: Find the exact volume of the solid generated by revolving the region bounded by the given curves abo...

A: We first sketch the region using a graphing calculator.     

Q: Find the arc length of the graph of the function over the indicated interval. x=(1/3) (square root...

A: Arc length formula L=∫ab1+dxdy2 dy first we take derivative with respect to y x=13y(y-3) apply produ...

Q: Q5

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Q: Please answer number 4 put step by step full solution

A: 4.

Q: Solve the separable differential equation. dy = 3x (y? + 1) dx

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Q: Do #2

A: Given that: limx→∞x2+4x-37x2+2

Q: A bacteria culture starts with 2,000 bacteria and doubles in size every 4 hours. Find an exponential...

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Q: Find the limit in terms of the constant a please

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Q: An elliptical pool table has a ball placed at each focus.If one ball is hit toward the side of the t...

A: Our Aim is to tell what will occur if one ball is hit towards the side of thetable provided that an ...

Q: Use these function definitions to answer the following: (refer to image)   (a) What ish−1(x)? (b) Wh...

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts fo...

Q: Newton's Law of Gravitation says that the magnitude F of the force exerted by a body of mass m on a ...

A: For  F = GmM/r2 dF/dr is calculated as shown below   

Q: The graphs of two functions f and g are shown below. 35 30 25 20 3D 3D 15 10 %3D f -6 -4 -2 2 4 a. W...

A: Given the graph for f(x) and g(x).

Q: 2 for al 2 0. 39. Prove that lim x* cos %3D -

A: Given,

Q: Find all points on the graph of ​f(x)=8x^2−26x+21.   where the slope of the tangent line is 0. The...

A: Given : f(x) = 8x^2-26x+21 Find: All points where The slope tangent line is zero. We know tha slope ...

Q: A conic section is the set of all points in the plane such that the ratio of the distance from a fix...

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Q: please answer 6&amp;7. thankyou!

A: 6- Given- cos5π12 To find- The exact value of the above expression. Explanation- Rewrite the given e...

Q: Let 3t f(E)= t?4 Cost, Find the limit lim F(t)

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Q: Evaluate j2 + 1 for all consecutive integers from 1 to 6, inclusive. Then find the sum of the six ev...

A: Consider the expression aj=j2+1

Q: 4. The following is called a reduction formula: sec" xdx = tan x sec sec -2 xdx n-1 n-1 Show how it ...

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Q: Find the curl of the vector fieldF = curl F = %3D j+ k

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Q: Find the exact length of the curve over the given interval. 2sxs3 4x'

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Q: [1 0 -7 3 The matrix 1 is in reduced row-echelon form. Determine the solution of the corresponding s...

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Q: A Ferris wheel is 30 meters in diameter and boarded from a platform that is 1 meter above the ground...

A: The radius of the Ferris wheel is, ⇒Radius, R=Diameter2=302=15 a. The mean height of the person is c...

Q: Fine the limit of the function (if it exists) Lim x--&gt; -7 of x^2-49/x+7 Write a simpler function ...

A: Given the limit, limx→-7x2-49x-7 Now factorize the numerator of the given limit by using (a2-b2)=(a-...

Q: In the problem, determine the general solution of the given differential equation.

A: Give differential equation is : xdydx+3x+1y=e-3x To find the general solution of given differential ...

Q: Help, with part d) I think the equilibrium points are multiples of  $\pi$ but I don't know how to id...

A: To calculate equilibrium solutions of differential equation find the zeroes of the differential equa...

Q: Suppose that f(, y) = 4x + 5y at which {(r, y) | – 3 <I < 5, – 3 < y < 5}. D Then the double integra...

A: Integration is the calculation of an integral, which is used to find volumes, areas etc.

Q: 2x2 + 1 9. lim x→2 3x

A: The given function is 2x2+13x-2 and the limit is x→2.

Q: -2x^2 +8x = 3 Explain the quadratic formula, discribe about quadratic function key features, explai...

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Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the oute...

A: y=1+8x3

Q: Use the limit definition to compute the derivative of the function f(x) = Vx + 18 at x = 1. (Use sym...

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Q: In the problem solve the problem with initial values.

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Q: Find the vertex, focus, and directrix of parabola with the given equation x2 + 16y = 0. Then graph t...

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Q: 2-9 (b) lim -3 2t2 + 7t +3

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Q: Find the exact volume of the solid generated by revolving the region bounded by the given curves abo...

A: We will do it by calculation

Q: . For the function g whose graph is given, state the value of each quantity, if it exists. If it doe...

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Q: 21. lim +0.5, ±0.1, ±0.01, ±0.001, ±0.000E

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Q: Eliminate the parameter and graph the plane curve represented by the parametric equations. Use arrow...

A: Given, x=t2 y=t-1 -1≤t≤3

Q: For all four equations shown,the focus is at the________ and e represents the conic’s________ .

A: focus is at pole and e represents eccentricity.

Q: r2/5 V4 – 25x² dx.

A: Explanation and solution is given below.....

Q: (INFINITE SEQUENCE) Determine the convergence or divergence of the following sequences. If it conver...

A: Given sequence is : an=1+knn The given sequence is infinite.  

Q: Find the derivative of the function by the limit process. f(x) = x2 + x - 2 f'(x) Need Help? Read It...

A: Given function is : fx=x2+x-2 To find f'x by limit process.

Q: Consider the region in the first quadrant bounded by y = x', the y-axis, and the line y = 1. Set up ...

A: Given: Equation of curve is y=x. Region is revolved about the line y=-2 Draw a graph representing ...

Q: Based on a preliminary report by a geological survey team, it is estimated that a newly discovered o...

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